Results 241 to 250 of about 7,631,600 (272)

Convergence of Generalized Mann Type of Iterates to Common Fixed Point

2018
The present paper deals with the convergence of two modified Mann type of iteration schemes for a single and a finite family of mappings to the fixed and common fixed point, respectively, of a single and a finite family of quasi-nonexpansive mappings on a uniformly convex Banach space. An example is added in support of our main result.
T. Som, Amalendu Choudhury, D. R. Sahu, Ajeet Kumar   +3 more
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Strong convergence theorems for a Mann-type iterative scheme for a family of Lipschitzian mappings

Journal of Applied Mathematics and Computing, 2010
Let \(K\) be a closed convex subset of a reflexive Banach space \(E\). Suppose that, for each positive integer \(n\), the mapping \(T_n:K\to K\) is \(L_n\)-Lipschitzian, i.e., \(\|T_nx-T_ny\|\leq L_n\|x-y\|\) for all \(x,y\in K\), and that \(F:=\{x\in K: x=T_nx\;\forall n\}\neq\varnothing\).
Chidume, C. E., Chidume, C. O., Shehu, Y.   +2 more
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Convergence Rate Analysis of Inertial Krasnoselskii–Mann Type Iteration with Applications

Numerical Functional Analysis and Optimization, 2018
It is well known that the Krasnoselskii–Mann iteration of nonexpansive operators find applications in many areas of mathematics and known to be weakly convergent in the infinite dimensional setting...
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Strong convergence of Mann type implicit iterative process for demi-continuous pseudo-contractions

Journal of Applied Mathematics and Computing, 2008
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Qin, Xiaolong, Zhou, Haiyun, Kang, Shin Min   +2 more
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On a Mann type implicit iteration process for continuous pseudo-contractive mappings

Nonlinear Analysis: Theory, Methods & Applications, 2007
A Mann type implicit iteration scheme is considered for pseudocontractive mappings. Several weak and strong convergence results are proved for such an iteration scheme in Hilbert and Banach spaces.
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A Mann type hybrid generalized f-projection iterative method for a class of nonlinear mappings

Journal of Fixed Point Theory and Applications, 2016
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Krasnoselski-Mann type iterative method for hierarchical fixed point problem and split mixed equilibrium problem

Numerical Algorithms, 2017
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Kaleem Raza Kazmi, Rehan Ali, Mohd Furkan   +2 more
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Modified Krasnoselski–Mann type iterative algorithm with strong convergence for hierarchical fixed point problem and split monotone variational inclusions

Journal of Computational and Applied Mathematics, 2021
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Mann type iterative methods for finding a common solution of split feasibility and fixed point problems

Positivity, 2012
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Ceng, Lu-Chuan, Ansari, Qamrul Hasan, Yao, Jen-Chih   +2 more
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A new Mann-type iterative algorithm for maximal monotone mappings in classical Banach spaces

Creative Mathematics and Informatics
Let E = L_q(1 q ∞)with dual space E^{∗}. Let A : E → E^{∗} be a bounded and maximal monotone mapping such that A^{-1}(0) ≠ ∅. Let the sequence {x_n} be generated iteratively by the following algorithm: x_1 ∈ E, x_{n+1} = (1−λ_nθ_n)x_n −λ_nJ^{-1}(Ax_n), n ≥ 1, where J isthe normalized duality mapping from E into E^{∗} and{λ_n}and{θ_n}are real ...
BEKAYE CAMARA, MOUSTAPHA SENE, NGALLA DJITTE   +2 more
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